Many L-System Turtle Patterns

Example 1

Start: A

Rules:

A > B-A-B
B > A+B+A

Recursions: 6

Angle: 60°

Example 2

Start: A

Rules:

A > A[+A][-A]B
B > [--B][++B]A

Recursions: 5

Angle: 30°

Example 3

Start: A

Rules:

A > -B+B+B+B+B+B
B > B[--CCA][-CCA]B
C > CC

Recursions: 5

Angle: 60°

Example 4

Start: A

Rules:

A > [----AAB][--AAB][++AAB]AAB
B > [-C][+C][--C][++C][---C][+++C]
C > CAB

Recursions: 3

Angle: 45°

Example 5

Start: A

Rules:

A > [-AAB][--AAB][+AAB][++AAB]AAB
B > [-C][+C][--C][++C]CA
C > CC

Recursions: 3

Angle: 72°

Example 6

Start: A

Rules:

A > -B+B+B+B+B+B
B > BB[-CCA]
C > CC

Recursions: 5

Angle: 60°

Example 7

Start: A

Rules:

A > B+B+B+B+B
B > [-CCA]BB
C > CC

Recursions: 5

Angle: 72°

Example 8

Start: A++++A

Rules:

A > +A-B-B[B]
B > -B+A+A[A]

Recursions: 5

Angle: 45°

Example 9

Start: A++A

Rules:

A > AB[-A][+A]
B > A

Recursions: 6

Angle: 90°

Example 10

Start: A+++A+++A+++A

Rules:

A > B--B
B > AA+++AA

Recursions: 7

Angle: 30°

Example 11

Start: A

Rules:

A > AB
B > A[++C][--C]
C > C[+C][-C]A

Recursions: 7

Angle: 45°

Example 12

Start: A

Rules:

A > X[-A][+A]AA
X > XX

Recursions: 5

Angle: 60°

Example 13

Start: A

Rules:

A > X[-A][+A]A
X > XX

Recursions: 6

Angle: 60°

Example 14

Start: A++++++.A

Rules:

A > B+B+B+B+B+B+B
B > B[-CCA][+CCA]
C > CC

Recursions: 5

Angle: 30°

Example 15

Start: A

Rules:

A > ABA
B > [-BAB][+BAB]

Recursions: 6

Angle: 90°

Example 16

Start: AA

Rules:

A > ABA
B > C[-BAB][+BAB]
C > CC

Recursions: 5

Angle: 90°

Example 17

Start: AA

Rules:

A > B-AA-B
B > A+B+A

Recursions: 6

Angle: 45°

Example 18

Start: AA

Rules:

A > B-AA-B
B > AB+B+A

Recursions: 5

Angle: 90°

Example 19

Start: AA

Rules:

A > B-AA-B
B > AB+B+AB

Recursions: 5

Angle: 90°

Example 20

Start: A++A++A++A

Rules:

A > B-CAC-B
B > AB-BA
C > CC

Recursions: 5

Angle: 135°

Example 21

Start: A.A

Rules:

A > BC
B > B[+C][-C]
C > CAD
D > DD[+D+D][-D-D]

Recursions: 5

Angle: 60°

Example 22

Start: A

Rules:

A > B-ABA-B
B > A+B+A

Recursions: 6

Angle: 72°

Example 23

Start: A

Rules:

A > B-ABA-B
B > A+B+A

Recursions: 6

Angle: 90°

Example 24

Start: A

Rules:

A > B-ABA-B
B > A+B+A

Recursions: 6

Angle: 120°

Example 25

Start: A

Rules:

A > B-ABA-B
B > A+B+A

Recursions: 6

Angle: 108°

Example 26

Start: A

Rules:

A > B-ABA-B
B > A+B+A

Recursions: 4

Angle: 135°

Example 27

Start: A++A++A++A

Rules:

A > B-ABA-B
B > A+BB+A

Recursions: 4

Angle: 135°

Example 28

Start: A

Rules:

A > A[+A][-A]B
B > A[--B][++B]B

Recursions: 6

Angle: 108°

Example 29

Start: A

Rules:

A > A[+A][-A]A[+B][-B]
B > A[--B][++B]B

Recursions: 5

Angle: 60°

Example 30

Start: A

Rules:

A > A[+A][-A]A[+B][-B]
B > A[--B][++B]B

Recursions: 5

Angle: 20°

Example 31

Start: A

Rules:

A > A[+A][-A]A[+B][-B]
B > A[----B][++++B]B

Recursions: 5

Angle: 45°

Example 32

Start: A

Rules:

A > A[++A][--A]A[+B][-B]
B > A[----B][++++B]B

Recursions: 5

Angle: 45°

Example 33

Start: A

Rules:

A > B++B++B++B++B
B > B[-CCC-CC-CCA][----CC-CCB]B
C > CC

Recursions: 5

Angle: 36°

Example 34

Start: A

Rules:

A > B++A++A++B
B > AB[A-CC-CC-CCA]BA
C > CC

Recursions: 5

Angle: 90°

Example 35

Start: A++++XA

Rules:

A > AA[-B][+B]B
B > [---ABC][+++ABC]
C > A[-CB][+CB]
X > XX

Recursions: 5

Angle: 45°

Example 36

Start: A+++XA

Rules:

A > AA[-B][+B]B
B > [--ABC][++ABC]
C > A[-CB][+CB]
X > XX

Recursions: 5

Angle: 60°

Example 37

Start: [A]+[A]+[A]+[A]+[A]+[A]

Rules:

A > AA[-B][+B]B
B > [-ABC][+ABC]
C > A[-CB][+CB]

Recursions: 4

Angle: 60°

Example 38

Start: [A]+[A]+[A]+[A]+[A]

Rules:

A > AA[-B][+B]B
B > [-ABC][+ABC]
C > A[-CB][+CB]

Recursions: 4

Angle: 72°

Example 39

Start: [A]+[A]+[A]+[A]

Rules:

A > AA[-B][+B]B
B > [-ABC][+ABC]
C > A[-CB][+CB]

Recursions: 4

Angle: 90°

Example 40

Start: [A]+[A]+[A]

Rules:

A > AA[-B][+B]B
B > [-ABC][+ABC]
C > A[-CB][+CB]

Recursions: 4

Angle: 120°

Example 41

Start: A

Rules:

A > C[+CA][CCCA][-CA]
C > CC

Recursions: 6

Angle: 45°

Example 42

Start: A

Rules:

A > C[+CA][CCCCB][-CA]
B > [++A][--A]
C > CC

Recursions: 6

Angle: 45°

Example 43

Start: [A]--[A]--[A]--[A]

Rules:

A > C[+CB][CCA][-CB]
B > CCC[+++A][---A]
C > CA

Recursions: 4

Angle: 45°

Example 44

Start: A

Rules:

A > A[-DB][+DB]C
B > DC[++DA][--DA]B
C > [+++D][---D]A
D > DD

Recursions: 6

Angle: 40°

Example 45

Start: [A]+++[A]+++[A]

Rules:

A > A[---XB][-XB][+XB][+++XB]
B > XB[++XA][--XA]XA
X > XX

Recursions: 4

Angle: 40°

Example 46

Start: [A]+++[A]+++[A]

Rules:

A > A[---XB][-XB][+XB][+++XB]
B > XB[++XA][--XA]A
X > XX

Recursions: 4

Angle: 40°

Example 47

Start: A

Rules:

A > [---B][-B][+B][+++B]
B > BD[++DA][--DA]B
D > DD

Recursions: 5

Angle: 45°

Example 48

Start: A------A

Rules:

A > [---B][-B][+B][+++B]
B > BD[++DA][--DA]B
D > DD

Recursions: 5

Angle: 30°

Example 49

Start: A+A++++++A+A

Rules:

A > [---B][-B][+B][+++B]
B > BD[++DA][--DA]B
D > DD

Recursions: 4

Angle: 30°

Example 50

Start: A--A--A

Rules:

A > A[-A]A

Recursions: 6

Angle: 60°

Example 51

Start: B---A

Rules:

A > A[-AB]A
B > B[+BA]B

Recursions: 5

Angle: 60°

Example 52

Start: [A][B]

Rules:

A > [-XBA]A
B > [+XAB]B
X > XX

Recursions: 6

Angle: 30°

Example 53

Start: [A][B]

Rules:

A > C[-A-B]A
B > C[+B+A]B
C > CC

Recursions: 5

Angle: 30°

Example 54

Start: [+A][-B]

Rules:

A > [-CA-CB]A
B > [+CB+CA]B
C > CC

Recursions: 7

Angle: 30°

Example 55

Start: [+A][-B]

Rules:

A > [-CA-CB]A
B > [+CB+CA]B
C > CC

Recursions: 6

Angle: 90°

Example 56

Start: [+A][-B]

Rules:

A > [-CA-CB]A
B > [+CB+CA]B
C > CC

Recursions: 6

Angle: 120°

Example 57

Start: [+A][-B]

Rules:

A > [-CA-CB]A
B > [+CB+CA]B
C > CC

Recursions: 6

Angle: 150°

Example 58

Start: [+A][-B]

Rules:

A > [-CA-CB]CA
B > [+CB+CA]CB
C > CC

Recursions: 6

Angle: 150°

Example 59

Start: A

Rules:

A > XXX-B+BB+BB+BB+B
X > XX
B > B[-XXA]B

Recursions: 4

Angle: 90°

Example 60

Start: A

Rules:

A > XX[BBB+BB+B]A
X > XX
B > B[-XA][+XA]B

Recursions: 4

Angle: 30°

Example 61

Start: A

Rules:

A > XX[B+BB+BB+BB+B]
X > XX
B > BA

Recursions: 6

Angle: 90°

Example 62

Start: A

Rules:

A > XXX[B+BB+BB+B]
X > XX
B > BA

Recursions: 6

Angle: 120°

Example 63

Start: A

Rules:

A > X[-B+BB+BB+BB+BB+BB+B]
X > XX
B > X[+A-AA-AA-AA-AA-AA-A]

Recursions: 3

Angle: 10°

Example 64

Start: A

Rules:

A > B[-A][+A]
B > [DA][--DA][++DA]
D > DD

Recursions: 7

Angle: 60°

Example 65

Start: X

Rules:

F > FF
X > F[+XXF+F][-XXF-F]FXX

Recursions: 4

Angle: 30°

Example 66

Start: X

Rules:

F > FF
X > FF[+XFF+XF][-XFF-XF]FXX

Recursions: 4

Angle: 30°

Example 67

Start: X

Rules:

F > FF
X > FF[+XFFX+XF][-XFFX-XF]FXXFX

Recursions: 3

Angle: 30°

Example 68

Start: A

Rules:

A > AA[-B][+B]B
B > B[-ABC][+ABC]
C > C[-CBA][+CBA]

Recursions: 4

Angle: 60°

Example 69

Start: A

Rules:

A > A[-BC][+BC]BC
B > BB[-ABC][+ABC]
C > CCC[-CBA][+CBA]

Recursions: 4

Angle: 60°

Example 70

Start: GA

Rules:

A > [---BC][+++BC]
B > F[--AC][++AC]
C > FF[-BA][+BA]
F > FF
G > F

Recursions: 5

Angle: 15°

Example 71

Start: GA

Rules:

A > [---BC][+++BC]
B > [--AC][++AC]
C > FF[-BA][+BA]
F > FF
G > F

Recursions: 5

Angle: 15°

Example 72

Start: [A]------------[A]

Rules:

A > [---BC][+++BC]
B > [--AC][++AC]
C > F[-BA][+BA]
F > FF

Recursions: 5

Angle: 15°

Example 73

Start: C

Rules:

A > F[---BC][+++BC]
B > F[-CA][+CA]
C > [-AB][+AB]
F > FF

Recursions: 6

Angle: 15°

Example 74

Start: A

Rules:

A > ADB
B > [-CA][+CA]
C > [+C[-A][+A]][-C[-A][+A]]
D > E
E > AA

Recursions: 7

Angle: 30°

Example 75

Start: ABA

Rules:

A > +B--A--B+
B > -A+BCB+A-
C > CC

Recursions: 7

Angle: 45°

Example 76

Start: AAAAA

Rules:

A > B--A--B
B > A+BCB+A
C > CC

Recursions: 5

Angle: 72°

Example 77

Start: ABA

Rules:

A > A+AA+B+AA+A
B > B-B-A-B-B

Recursions: 4

Angle: 22°

Example 78

Start: A+A+A+A

Rules:

A > C[++CB][--CB]
B > C-BAB+C
C > CAB

Recursions: 6

Angle: 90°

Example 79

Start: AAAAA

Rules:

A > A+B+A
B > CC-[+CA][-CA]-B
C > CC

Recursions: 6

Angle: 108°

Example 80

Start: AA

Rules:

A > A++B-C-B++A
B > B--A+C+A--B
C > CC

Recursions: 6

Angle: 45°

Example 81

Start: AAAA

Rules:

A > A++B-C-B++A
B > B--A+C+A--B
C > CCC

Recursions: 5

Angle: 45°

Example 82

Start: -A++A

Rules:

A > A++B-C-B++A
B > B--A+C+A--B
C > CCC

Recursions: 5

Angle: 45°

Example 83

Start: -A

Rules:

A > A++B-C-B++A
B > B--A+C+A--B
C > CCC

Recursions: 5

Angle: 45°

Example 84

Start: AAA

Rules:

A > A++B-C-B++A
B > B--A+C+A--B
C > CC

Recursions: 6

Angle: 60°

Example 85

Start: A

Rules:

A > +B-AA-B+
B > -A+BB+A-

Recursions: 3

Angle: 108°

Example 86

Start: A

Rules:

A > +B-ACA-ACA-B+
B > -A+BCB+BCB+A-
C > CCC

Recursions: 5

Angle: 135°

Example 87

Start: A

Rules:

A > +B-AA-B+
B > -A+BB+A-

Recursions: 3

Angle: 108°

Example 88

Start: A

Rules:

A > +B-AA-AA-B+
B > -A+BB+BB+A-

Recursions: 5

Angle: 30°

Example 89

Start: A

Rules:

A > +B-ACA-ACA-B+
B > -A+BCB+BCB+A-
C > CCC

Recursions: 5

Angle: 60°

Example 90

Start: A

Rules:

A > +B-ACA-ACA-B+
B > -A+BCB+BCB+A-
C > CCC

Recursions: 5

Angle: 108°

Example 91

Start: -A

Rules:

A > +B-AA-B+
B > -A+BB+A-

Recursions: 5

Angle: 90°

Example 92

Start: A

Rules:

A > +B-AAA-B+
B > -A+BBB+A-

Recursions: 5

Angle: 120°

Example 93

Start: AA

Rules:

A > +B-AAA-B+
B > -A+BBB+A-

Recursions: 5

Angle: 108°

Example 94

Start: AA

Rules:

A > +B-ABA-B+
B > -A+BAB+A-

Recursions: 5

Angle: 108°

Example 95

Start: A

Rules:

A > +BB-ABA-BB+
B > -AA+BAB+AA-

Recursions: 5

Angle: 90°

Example 96

Start: A

Rules:

A > +BA-ABA-AB+
B > -AB+BAB+BA-

Recursions: 5

Angle: 90°

Example 97

Start: A

Rules:

A > +BA-A--B--A-AB+
B > -AB+B++A++B+BA-

Recursions: 5

Angle: 60°

Example 98

Start: A

Rules:

A > +BA-A--A--A-AB+
B > -AB+B++B++B+BA-

Recursions: 5

Angle: 120°

Example 99

Start: A

Rules:

A > +AA-B--A--B-AA+
B > -BB+A++B++A+BB-

Recursions: 5

Angle: 120°

Example 100

Start: A

Rules:

A > +BA--AA--AB+
B > -AB++BB++BA-

Recursions: 5

Angle: 30°

Example 101

Start: A

Rules:

A > +++BA----ABA----AB+++
B > ---AB++++BAB++++BA---

Recursions: 5

Angle: 45°

Example 102

Start: A

Rules:

A > +++BA----ABA----AB+++
B > ---AB++++BAB++++BA---

Recursions: 4

Angle: 50°

Example 103

Start: A

Rules:

A > +++BA----ABA----AB+++
B > ---AB++++BAB++++BA---

Recursions: 5

Angle: 50°

Example 104

Start: A

Rules:

A > CAA[--CAB][++CAB]
B > C[-CC-CA][+CC+CA]
C > CC

Recursions: 5

Angle: 100°

Example 105

Start: A

Rules:

A > CAA[--CAB][++CAB]
B > C[-CC-CA][+CC+CA]
C > CC

Recursions: 5

Angle: 90°